(11x+2)(8x+7)=

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Solution for (11x+2)(8x+7)= equation:


Simplifying
(11x + 2)(8x + 7) = 0

Reorder the terms:
(2 + 11x)(8x + 7) = 0

Reorder the terms:
(2 + 11x)(7 + 8x) = 0

Multiply (2 + 11x) * (7 + 8x)
(2(7 + 8x) + 11x * (7 + 8x)) = 0
((7 * 2 + 8x * 2) + 11x * (7 + 8x)) = 0
((14 + 16x) + 11x * (7 + 8x)) = 0
(14 + 16x + (7 * 11x + 8x * 11x)) = 0
(14 + 16x + (77x + 88x2)) = 0

Combine like terms: 16x + 77x = 93x
(14 + 93x + 88x2) = 0

Solving
14 + 93x + 88x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 8x)(2 + 11x) = 0

Subproblem 1

Set the factor '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875

Subproblem 2

Set the factor '(2 + 11x)' equal to zero and attempt to solve: Simplifying 2 + 11x = 0 Solving 2 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 11x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 0 + -2 11x = 0 + -2 Combine like terms: 0 + -2 = -2 11x = -2 Divide each side by '11'. x = -0.1818181818 Simplifying x = -0.1818181818

Solution

x = {-0.875, -0.1818181818}

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